# How do you evaluate -5( ( - 2) \cdot ( - 8) - 15) - 2?

Feb 26, 2018

$- 7$

#### Explanation:

This is really a test of being very careful with your order of operations.

Will begin with what's inside the parenthesis:

$- 5 \textcolor{red}{\left(\left(- 2\right) \cdot \left(- 8\right) - 15\right)} - 2$

Remove the parenthesis around $- 2$ and $- 8$

$- 5 \textcolor{red}{\left(- 2 \cdot - 8 - 15\right)} - 2$

Following our order of operations we multiply first and then subtract. So...

$- 5 \textcolor{red}{\left(16 - 15\right)} - 2$

$- 5 \left(1\right) - 2$

Again, following our operations, we'll multiply $- 5$ and $- 31$ and then subtract $2$:

$- 5 - 2$

$- 7$